The multiple gamma functions and the multiple q-gamma functions

Details The multiple gamma functions and the multiple q-gamma functions The multiple gamma functions and the multiple q-gamma functions

1996-05-02

arxiv.org/abs/q-alg/9605002v2

Mathematics

Quantum Algebra

AMS-Latex, 40 pages. Minor changes have been made

Scientific paper

We give an asymptotic expansion (the higher Stirling formula) and an infinite
product representation (the Weierstrass product representation) of the
Vign\'{e}ras multiple gamma functions by considering the classical limit of the
multiple q-gamma functions.

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